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Ksju [112]
3 years ago
9

19. 4x-y+2z = 8x+y-4 Find x

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
4 0

Answer:

x = \frac{4-2y+2z}{4}

Step-by-step explanation:

4x-y+2z = 8x+y-4

4x-8x-y+2z = 8x - 8x +y-4

-4x -y +2z= y-4

-4x -y+y +2z = y+y-4

-4x +2z = 2y-4

-4x+2z-2z = 2y-2z-4

-4x = 2y-2z-4

x= \frac{2y-2z-4}{-4} = \frac{4-2y+2z}{4}

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Use Cramer’s Rule to solve system of equation.
alisha [4.7K]

\left\{\begin{array}{ccc}5x+2y=4\\3x+4y+2z=6\\7x+3y+4z=29\end{array}\right\\\\A=\left[\begin{array}{ccc}5&2&0\\3&4&2\\7&3&4\end{array}\right]\\\\\det A=5\cdot4\cdot4+3\cdot3\cdot0+2\cdot2\cdot7-7\cdot4\cdot0-3\cdot2\cdot5-3\cdot2\cdot4=54\\W_x=\left[\begin{array}{ccc}4&2&0\\6&4&2\\29&3&4\end{array}\right]\\\det W_x=4\cdot4\cdot4+2\cdot2\cdot29+6\cdot3\cdot0-29\cdot4\cdot0-3\cdot2\cdot4-6\cdot2\cdot4=108

W_y=\left[\begin{array}{ccc}5&4&0\\3&6&2\\7&29&4\end{array}\right]\\\det W_y=5\cdot6\cdot4+3\cdot29\cdot0+4\cdot2\cdot7-7\cdot6\cdot0-29\cdot2\cdot5-3\cdot4\cdot4=-162\\W_z=\left[\begin{array}{ccc}5&2&4\\3&4&6\\7&3&29\end{array}\right]\\\det W_z=5\cdot4\cdot29+3\cdot3\cdot4+6\cdot2\cdot7-7\cdot4\cdot4-3\cdot6\cdot5-3\cdot2\cdot29=324\\\\x=\dfrac{\det W_x}{\det A}=\dfrac{108}{54}=2\\\\y=\dfrac{\det W_y}{\det A}=\dfrac{-62}{54}=-3\\\\z=\dfrac{\det W_z}{\det A}=\dfrac{324}{54}=6

5 0
3 years ago
Use the long division method to find the result when 12x^3+25x^2+4x-112x
slavikrds [6]

Answer:

(4x + 3) • (x + 2) • (3x - 2)

Thats finding the root polynomials hope it helps a bit

7 0
2 years ago
If it takes 8 inches of ribbon to make a bow,how many bows can be made from 3 feet of ribbon (1 foot = 12 inches)? Will any ribb
Aloiza [94]

First, find out how much ribbon there is.

3 x 12 = 36

Now, see how many times you can divde that by 8.

36 can only be divided by 8 four times, and there would be 4 inches of ribbon left.

So, you would be able to make 4 bows, with 4 inches of ribbon remaining.

8 0
3 years ago
Can i have some help i spent a lot of points and it didn't work :((((
Ivahew [28]

Answers for A:

Factored form: (x-2)(x+4)

Zeros: x = 2, -4

Vertex: (-1, -9)

Answers for B:

Factored form: -(x+2)(x+7)

Zeros: x = -2, -7

Vertex: (-9/2, 25/4)

5 0
2 years ago
8) A rectangle measuring 25cm long and 4cm wide has the SAME AREA as a square.
MakcuM [25]

Answer:

10

Step-by-step explanation:

The area of the rectangle is 100cm, so if the area of the square is the same as the rectangle, then the side of the square would be 10. 10 x 10 is 100.

(I'm sorry if my explanation sucks)

8 0
2 years ago
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